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40415361632 = 2561191108401
BaseRepresentation
bin100101101000111100…
…010111101001100000
310212022121122002112122
4211220330113221200
51130232313033012
630322213243412
72630346622442
oct455074275140
9125277562478
1040415361632
111615a466418
1279bb033568
133a71141c89
141d55810492
1510b81d1e72
hex968f17a60

40415361632 has 48 divisors (see below), whose sum is σ = 81296296704. Its totient is φ = 19772160000.

The previous prime is 40415361619. The next prime is 40415361647. The reversal of 40415361632 is 23616351404.

It is a junction number, because it is equal to n+sod(n) for n = 40415361592 and 40415361601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318632 + ... + 427032.

It is an arithmetic number, because the mean of its divisors is an integer number (1693672848).

Almost surely, 240415361632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40415361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40648148352).

40415361632 is an abundant number, since it is smaller than the sum of its proper divisors (40880935072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40415361632 is a wasteful number, since it uses less digits than its factorization.

40415361632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108663 (or 108655 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 40415361632 in words is "forty billion, four hundred fifteen million, three hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 122 191 244 382 488 764 976 1528 1952 3056 6112 11651 23302 46604 93208 108401 186416 216802 372832 433604 867208 1734416 3468832 6612461 13224922 20704591 26449844 41409182 52899688 82818364 105799376 165636728 211598752 331273456 662546912 1262980051 2525960102 5051920204 10103840408 20207680816 40415361632